Home / 2,080-4,500

Finding the Third Proportional to 2,080 and 4,500

Calculator

Solution

The third proportional to 2,080 and 4,500 is: 9,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080 : 4,500 = 4,500 : x
  2. Step 2: Convert to fraction form
    2,080/4,500 = 4,500/x
  3. Step 3: Cross multiply
    2,080x = 4,500 × 4,500
  4. Step 4: Simplify right side
    2,080x = 20,250,000
  5. Step 5: Solve for x
    x = 20,250,000/2,080
  6. Step 6: Final answer
    x = 9,735.58

Related Problems

Find third proportional to 1,040 and 2,250
Half scale
Find third proportional to 4,160 and 9,000
Double scale
Find third proportional to 2,082 and 4,504
Similar ratio
Find third proportional to 3,120 and 6,750
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.